Xavier Aptitude Test 2012 Paper

Question : 62 of 85

Marks: +1, -0

Nikhil's mother asks him to buy 100 pieces of sweets worth Rs. 100/-. The sweet shop has 3 kinds of sweets, kajubarfi, gulabjamun and sandesh. Kajubarfi costs Rs.10/- per piece, gulabjamun costs Rs. 3/- per piece and sandesh costs 50 paise per piece. If Nikhil decides to buy at least one sweet of each type. How many gulabjamuns should he buy?

Validate

Solution:

(a) Let Nikhil buy

x, y,

and

z

pieces of kajubarfi, gulabjamun and sandesh respectively.

\∴ \ x+y+z=100

.......(i)
Also:

10 x+3 y+ {1}/{2} z=100

.......(ii)
Eliminating

z

from

(\ {i})

and (ii), we get

\∴ 19 x+5 y=100

\∴ \ y=\ {100-19 x}/{5}

for

x=1,

we are not getting any natural value of

y .

The only value of

x

for natural value of

y

x=5

\∴ \ y=\ {5}/{5}=1

∴

Nikhil must buy 1 gulabjamun.

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